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3.5.1 The problem of the horizon

By lack of better alternatives, most scientists, until today, still accept the explanation for the horizon problem offered by the inflation model.
When compared to this, the CTH solves the horizon problem in a surprisingly simple way, as Fig. 5 [7] shows, similar, also,
to the explanations presented by  J Magueijo in his script: "An alternative to the inflation model” [8], p. 42 ff.

3.5.2 The problem of galaxy formation

According to the CTH ( G ~ t - 2/3), the effective matter- densifying gravitation force was, in the 300000 years old universe, when the matter decoupled from the radiation – wich today we still observe as cosmic background radiation- about 1000 times stronger than today!
Besides, the universe had, in its early state, much more “individual time” at its disposition to develop local densifications from smallest inhomogeneities than in the classical big bang theory. The “event density” in the early universe was by a multiple higher than today ( at the time matter and radiation decoupled by the factor 40!).
Mainly the “dramatic growth and then again  cessation of quasar populations“ [17], p. 100 thereby could find a simple explanation, since the time dilatation  was specifically high at that time. As we can see, the CTH can explain the  lumpy matter distribution we observe today in the cosmos much more plausibly than any other theoretical model which had so far been used to try this.

3.5.3 The problem of planarity

Theoretically, the universe we observe should not exist at all!
At least, its existence would be extremely improbable if it rested upon those theories in physics accepted today. According to these, any smallest deviation from exact planarity would increase in linear proportion with time. If, e. g., 1 second after big bang, the deviation had only amounted to wee 10 -17   , then the universe should have collapsed again long ago, or it should have got lost in the expanse of the cosmos as a homogenous continuum, in which neither stars nor galaxies nor beings to observe it could exist.
According to the physics valid today, the expanding universe would be as instable as the static Einstein universe with a cosmological constant. The latter is excluded as a real possibility today  [15], p. 462:
 
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